REMINDER: seminar by dr. Fall at SISSA

[Emanuele Tuillier Illingworth]

> SEMINAR ANNOUNCEMENT
>
>
> Mouhamed Moustapha Fall (AIMS, Senegal)
>
> Title: "Overdetermined problems with fractional laplacian"
>
> Abstarct: "I will discuss a result obtained recently fractional Serrin 
> problem:  overdetermined problems driven by  the fractional laplacian 
> with zero Dirichlet conditions and constant fractional order Neuman 
> boundary conditions. Our result states that on domains where  there is 
> a positive function which satisfies some fractional elliptic equation 
> and   satisfies both Dirichlet and Neuman conditions are balls.
>  These problems arise when classifying  stationary sets of domain 
> dependent variational problems involving fractional Sobolev norms. The 
> result I will present is an extension of Serrin's result in 1971. 
> However, due to the nonlocal property of the fractional laplacian, no 
> connectedness is required in the classifications of such stationary 
> sets. The argument of our proof is based on constructing barriers and 
> the moving plane method in the nonlocal framework."
>
> A joint wotk with Seven Jarohs.
>
> Venue: Wednesday 17 September at 2:30 pm in lecture room 133
>